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Tutorial: Quantum Information & Cold Atoms

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2. Purifying EPR pairs<br />

• A noisy quantum channel allows us to generate many noisy EPR pairs.<br />

1/2 < F < 1<br />

...<br />

Bennett et al., Deutsch et al. PRL '95<br />

purification<br />

F ~ 1<br />

If F 1/2 we can purify and obtain one EPR pair with F 1.<br />

To do this we need a small quantum computer.<br />

• In summary: quantum communication via a noisy channel:<br />

- we generate one high fidelity EPR pair by purification<br />

- we teleport the quantum state<br />

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